SOLUTION: 4e^(-0.3x) - 7 = 13 I know the answer is about -5.365, but I don't know how it was done. Please help

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 4e^(-0.3x) - 7 = 13 I know the answer is about -5.365, but I don't know how it was done. Please help      Log On


   



Question 401315: 4e^(-0.3x) - 7 = 13 I know the answer is about -5.365, but I don't know how it was done. Please help
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
You can put this solution on YOUR website!
4e^(-0.3x) - 7 = 13
Add 7 to both sides
4e^(-0.3x) = 20
divide both sides by 4
e^(-0.3x) = 5
find the nat log of both sides (ln(e) = 1)
-.3x = ln(5)
-.3x = 1.609
divide both sides by -.3
x = 1.609%2F%28-.3%29
x = -5.365